## Jagat Chaudhary is teaching live on Unacademy Plus

IIT-JEE (main +Advanced) Probability On

Exlended Bae's theorem.

elues A Sag Con tains 3 biased coins B,,81,B ohase Probub li-hes of felling Head ave A Cain is dnon yandonM and tossed and it fells azam will fall Hend

Que eles A Sag otains 3 biased coins B,,8., 82 ohase es of talli Head are ,a, 3 ACain iS dmaun yandony and tossed and it fells Head. Fnd the bobab hen Same Coin toss ed again wsil fall Head setknj

Que Bag Con-trains 3 biased coins B,8, 8 ohase ities o alnq ACon 1S daon randovny and tossed and t Fells Head. Find the oobabhen Same Coin toss ed again wil fall Head 31 J. P(Head gethiy en Tst Cain uohen Head has occred)

eues Contains 3 biased cons B,,8 ,B2 ohase Pobablihes of flling Head ave , ACo n IS dmon Yandonly and tossed.and it felis Head. Find the Sa again wil fall Head bobab shen Same Coin toss ed 3 4 a. P(Head gethiy on st on hen Head has occued)

P(Head ggun npl Coin aftergethn)

lad ern Same Can hapen i-h 2 and 3d Coins oith pnok.

with 2nd and 3 oins uith bob. an be, Porb, 5or Sam toin fealling Head Sm abort a

Qu es A bag ontains red and 4 uohite balls 9 4 balls ae drquon wthout reblacement an oese found to be atleast o hC . Find Ahe poob. Ahat the ext draw of a ball from oil ive a whie ball Excercise

In answering a question on a multiple choice test, a student either knows the answer or guesses. Let be the probability that he knows the answer and 1 be the probability that he guesses, Assuming that a student who guesses at the answer will be correct with probabiy What is the probability that the student knows the answer given that he answered it correctly? 4 4 E, - knows E2 Guess

In answering a question on a multiple choice test, a student either knows the answer or guesses. Let be the probability that he knows the answer and 1 be the probability that he guesses, Assuming that a student who guesses at the answer will be correct with probability What is the probability that the student knows the answer given that he answered it correctly? 4 4 PIE PE, P/E)-1 E, - knows E2-Guess

In answering a question on a multiple choice test, a student either knows the answer or guesses. Let be the probability that he knows the answer and 1 be the probability that he guesses, Assuming that a student who guesses at the answer will be correct with probability What is the probability that the student knows the answer given that he answered it correctly? 4 4 E, - knows E2-Guess P(E2)- P(A/E2)- 4

In answering a question on a multiple choice test, a student either knows the answer or guesses. Let be the probability that he knows the answer and 1 be the probability that he guesses, Assuming that a student who guesses at the answer will be correct with probability What is the probability that the student knows the answer given that he answered it correctly? 4 4 E, - knows E2-Guess P(E2)- P(A/E2)- 4 P(E) P(AE,) P(E A)

In answering a question on a multiple choice test, a student either knows the answer or guesses. Let be the probability that he knows the answer and 1 be the probability that he guesses, Assuming that a student who guesses at the answer will be correct with probability What is the probability that the student knows the answer given that he answered it correctly? 4 4 E, - knows E2-Guess 4 MEJA)-